There is an extensive debate on whether the Ring or Frodo spoke on Orodruin in a thread called "Frodo or the Ring?" found in the Books forum. Feel free to update that thread or import arguments from there to here.
Similarly, there is a thread about whether Frodo failed or not. In my view, the quotes provided that Frodo did not fail. He took the quest as far as was humanly (Hobbitly?) possible. He could not throw the Ring into his own fireplace; how could he be expected to destroy it months later after experiencing great suffering and the enhanced influence of the Ring? This is why he was given companions. To assist him not only in getting the Ring to Mordor but also to help him exercise the will to destroy it. Unfortunately, the breaking of the Fellowship eliminated his companions (except for Sam who was likely the one person who would not be able to engage in a conflict with Frodo) leaving him on his own. He went as far if not farther than anyone else could have gone. How is this a "failure"?
__________________
Beleriand, Beleriand,
the borders of the Elven-land.
|